Expression

Problem 8001

13. Find the measure of an exterior angle of a regular pentagon.

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Problem 8002

Jamie's engine is performing 294 revolutions in 4 minutes. Write the rate as a fraction in simplest form. Do not include units in your answer.

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Problem 8003

Question Write the rate as a fraction in simplest form: 492 miles in 8 hours.

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Problem 8004

Question Annie drives her car 144 miles using 8 gallons of gas. How many miles per gallon does her car get? Do not include the units in your answer.

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Problem 8005

Question You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total check is $134.50\$ 134.50. As a group you decide to tip the waiter 20%20 \% on top of the total check amount. How much money should you and each friend pay, including tip? Round your answer to the nearest cent.

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Problem 8006

Divide. (7v3x6+24v7x6)÷(4v4x3)\left(-7 v^{3} x^{6}+24 v^{7} x^{6}\right) \div\left(-4 v^{4} x^{3}\right)
Simplify your answer as much as possible.

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Problem 8007

(7.01×103)+(5.6×101)\left(7.01 \times 10^{3}\right)+\left(5.6 \times 10^{-1}\right)
PLY YOUR SKILLS Find the number of second The speed of liaht is appro

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Problem 8008

Use the product rule to simplify the expression. (2y3)(2y3)\left(2 y^{3}\right)\left(2 y^{3}\right)

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Problem 8009

Rowena's monthly gasoline bill dropped from $83.75\$ 83.75 last month to $56.95\$ 56.95 this month. Find the percent decrease. Round your answer to the nearest percent. Do NOT round until you have calculated the final answer.

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Problem 8010

Use the power rule and the power of a product or quotient rule to simplify the expression. Assume that all bases are not equal to 0 . (rs)3\left(\frac{r}{s}\right)^{3}

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Problem 8011

Use the product rule to simplify the expression. Write the result using exponents. y2y4y2y4=\begin{array}{c} y^{2} \cdot y^{4} \\ y^{2} \cdot y^{4}= \end{array}

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Problem 8012

Simplify: 7.5(13)27.5 \cdot\left(\frac{1}{3}\right)^{2} \square

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Problem 8013

The internal energy of a system is defined as a. the total kinetic energy of the system. b. the total potential energy of the system. c. the sum of the potential and kinetic energies of all the system components. d. the sum of the potential energy minus the sum of the kinetic energy of all the system components. e. None of the above.

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Problem 8014

ASSIGNMENT - Calculate the number density of free carriers in silver, assuming that each atom contributes one carrier, the density of silver is 105x103 kg m3105 x \frac{10^{3} \mathrm{~kg}}{\mathrm{~m}^{3}} and the atomic weight is 107.g/mol107 . \mathrm{g} / \mathrm{mol}.

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Problem 8015

90×90=90 \times 90=

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Problem 8016

Write the product as a sum: 20cos(25r)sin(21r)=20 \cos (25 r) \sin (21 r)=
Question Help: Video Message instructror

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Problem 8017

Find the polar coordinates, 0θ<2π0 \leq \theta<2 \pi and r0r \geq 0, of the point given in Cartesian A) (42,3π4)\left(4 \sqrt{2}, \frac{3 \pi}{4}\right) B) (42,7π4)\left(4 \sqrt{2}, \frac{7 \pi}{4}\right) coordinates. (4,4)(4,-4) C) (42,π4)\left(4 \sqrt{2}, \frac{\pi}{4}\right) D) (42,5π4)\left(4 \sqrt{2}, \frac{5 \pi}{4}\right)

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Problem 8018

Add. 13+59-\frac{1}{3}+\frac{5}{9}
Write your answer in simplest form.

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Problem 8019

36632(36384)=\frac{36}{6} \cdot 32(36 \cdot 384)=

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Problem 8020

LES SOLIDES: L'AIRE LATÉRALE ET L'AIRE TOTALE
En te référant au cône, indique si les énoncés suivants sont vrais ou faux. \begin{tabular}{|c|c|c|} \hline Énoncé & Vrai & Faux \\ \hline \begin{tabular}{c} La base de ce cône a une \\ circonférence de 252π cm252 \pi \mathrm{~cm}. \end{tabular} & \square & \square \\ \hline \begin{tabular}{c} L'aire totale de ce cône est \\ de 3500π cm23500 \pi \mathrm{~cm}^{2}. \end{tabular} & \square & \square \\ \hline \end{tabular}

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Problem 8021

Fill in the gaps to factorise this expression. m264=(m+)(m)m^{2}-64=(m+\ldots)(m-\ldots)

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Problem 8022

Evaluate the following. 4×4614÷24 \times 4-6-14 \div 2

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Problem 8023

Work out the circumference of the circular field shown below. Give your answer in metres (m) to 1 d.p.

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Problem 8024

Fill in the gaps to factorise this expression. x2+6x27=(x(x+)x^{2}+6 x-27=(x-\not)(x+\ldots)

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Problem 8025

Evaluate (84)÷2(8-4) \div 2.

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Problem 8026

Expand and simplify (2a+3)(4a+5)(2 a+3)(4 a+5)

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Problem 8027

Miranda organized some of the expressions used so far. She has lined up each area expression, ax2+bx+ca x^{2}+b x+c, with the corresponding dimension expression, (x+h)2(x+h)^{2}. \begin{tabular}{|c|c|c|c|} \hline Area Expression & x2+8x+16x^{2}+8 x+16 & x2+6x+9x^{2}+6 x+9 & x210x+25x^{2}-10 x+25 \\ \hline Dimension Expression & (x+4)2(x+4)^{2} & (x+3)2(x+3)^{2} & (x5)2(x-5)^{2} \\ \hline \end{tabular}
3. Miranda believes she has noticed a pattern and can determine hh using the value of bb. is there a pattern? If there is a pattern, describe the pattern and show how the value of bb can be used to determine the value of hh.
4. Miranda believes there is another pattern. She thinks the value of hh can be used to find the value of cc. Is there a pattern? If there is a pattern, describe the pattern and show how the value of hh can be used to determine the value of cc.
5. Miranda begins to wonder if bb can be used to determine the value of cc. Describe how bb can be used to determine the value of cc, and give one example to show how the value of bb can be used to determine the value of cc.

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Problem 8028

Factorise m2+12m+32m^{2}+12 m+32 fully

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Problem 8029

How much blood is needed for 3 tests if each requires 2142 \frac{1}{4} cc? A. 31123 \frac{1}{12} cc B. 6146 \frac{1}{4} cc C. 6126 \frac{1}{2} cc D. 6346 \frac{3}{4} cc E. 7127 \frac{1}{2} cc

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Problem 8030

Calculate the value of 13064\frac{130}{64}.

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Problem 8031

Calculate the value of 2242 \frac{2}{4}.

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Problem 8032

Calculate 801÷911801 \div 9 - 11.

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Problem 8033

Calculate 42×178+342 \times 178 + 3.

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Problem 8034

Calculate the value of (52+122)12\left(5^{2}+12^{2}\right)^{\frac{1}{2}}.

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Problem 8035

Find the average number of restaurants visited per week: 3, 4, 2, and 3. What is the average? F. 2 G. 3 H. 4 ง. 9 K. 12

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Problem 8036

Calculate the total number of pies and tarts: 13 apple pies + 14 coconut cream pies + 54 fruit tarts. What is the total?

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Problem 8037

Find the average score of a candidate who scored 87,96,8387, 96, 83, and 9898. Is it 83, 87, 90, 91, or 93?

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Problem 8038

Find the difference between 96.5 feet and 97 feet 3 inches. What is the difference in inches? A. 2 B. 3 C. 8 D. 9 E. 10

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Problem 8039

Find the volume difference between a 30 quart feeder and a 6 gallon feeder. Options: 1.5, 5, 6, 7.5, 24 quarts.

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Problem 8040

Calculate the area in acres of two land parcels in section 4: SW quarter of NW quarter of SE quarter of NW quarter and W half of SW quarter. Total area of section 4 is 640 acres. Possible answers: 82.5, 40, 100, 60 acres.

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Problem 8041

Calculate the average atomic mass of silicon (Si) using isotopic data. Round your answer to the tenths place.

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Problem 8042

Complete the symbols for these atoms: 28 protons & 30 neutrons, 22 protons & 21 neutrons, 15 electrons & 19 neutrons, O with 10 neutrons, Cr with mass number 54.

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Problem 8043

Calculate: 78.084molL×42L78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}, 7.8084molL×0.9L7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}, and 626.45mol÷34.3L626.45 \mathrm{mol} \div 34.3 \mathrm{L}.

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Problem 8044

Calculate the following: 78.084molL×42L78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}, 7.8084molL×0.9L7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}, and 626.45mol÷34.3L626.45 \mathrm{mol} \div 34.3 \mathrm{L}.

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Problem 8045

Find the GCF of 35 and 80 using prime factors. What expression represents it? A. 5 B. 15 C. 8

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Problem 8046

Find the prime factorization of 100. Options: A. 2×2×5×52 \times 2 \times 5 \times 5, B. 2×52 \times 5, C. 2×2×52 \times 2 \times 5, D. 10×1010 \times 10

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Problem 8047

Calculate the expression: 5×5÷9×1+25 \times 5 \div 9 \times 1 + 2.

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Problem 8048

Calculate the value of 333777333 \sqrt{777}.

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Problem 8049

Multiply or divide these measurements, ensuring correct significant digits: 20.947 g/mL × 25 mL = \square g 996.90 mol ÷ 33.96 L = \square mol/L 978.4 g ÷ 0.53 mL = \square g/mL

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Problem 8050

Multiply or divide these measurements, ensuring answers have correct significant digits:
1. 20.947gmL×25mL=g20.947 \frac{\mathrm{g}}{\mathrm{mL}} \times 25 \mathrm{mL} = \square \mathrm{g}
2. 996.90mol÷33.96L=molL996.90 \mathrm{mol} \div 33.96 \mathrm{L} = \square \frac{\mathrm{mol}}{\mathrm{L}}
3. 978.4g÷0.53mL=gmL978.4 \mathrm{g} \div 0.53 \mathrm{mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}

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Problem 8051

Calculate the distance between the points (1,4)(-1,4) and (1,1)(1,-1), rounding to the nearest tenth if needed.

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Problem 8052

Calculate the following: 1) 10.970 g1.17 g=10.970 \mathrm{~g}-1.17 \mathrm{~g}= ? 2) 3.907 g1.57 g=3.907 \mathrm{~g}-1.57 \mathrm{~g}= ? 3) 17.50 g+0.7 g=17.50 \mathrm{~g}+0.7 \mathrm{~g}= ?

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Problem 8053

Arrange the tiles 1, 2, 3, 4, 5, and 6 to create the largest whole number. Provide your answer in standard and expanded form.

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Problem 8054

Multiply or divide these measurements:
1. 78.08molL×40L=mol78.08 \frac{\mathrm{mol}}{\mathrm{L}} \times 40 \mathrm{L} = \square \mathrm{mol}
2. 0.93molL×2.025L=mol0.93 \frac{\mathrm{mol}}{\mathrm{L}} \times 2.025 \mathrm{L} = \square \mathrm{mol}
3. 599.25m÷42.528s=ms599.25 \mathrm{m} \div 42.528 \mathrm{s} = \square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 8055

Evaluate the expression and express the result as a+bia + bi: 41+i41i\frac{4}{1+i} - \frac{4}{1-i}

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Problem 8056

Evaluate the quotient and express it as a+bia + bi: (7+2i)(8i)2+i\frac{(7+2 i)(8-i)}{2+i}.

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Problem 8057

Create a number under 500,000 with a 2 in the thousands' place. Write it in standard form and expanded form.

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Problem 8058

Find the quotient and express it as a+bia + b i: 3i4+3i\frac{3-i}{4+3 i}. Simplify your answer.

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Problem 8059

Create a number over 200,000 with a 6 in the tenthousands place. Show standard and expanded forms.

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Problem 8060

Create a number under 500,000 with a 2 in the thousands place. Show it in standard and expanded form.

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Problem 8061

What is the expression for Tran's gas cost per mile if he pays \84todrive84 to drive m$ miles?

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Problem 8062

Pulse rates of non-smoking females before (mean 75.54, SD 11.62) and after exercise (mean 125.03, SD 25.86). Which is higher?

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Problem 8063

Simplify the expression by combining like terms: x(3y)+y(x+6)x(3-y)+y(x+6).

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Problem 8064

Is John's simplification of the expression (x+y)+3(x4y)-(x+y)+3(x-4y) correct? Explain your reasoning.

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Problem 8065

Find the value of a \1000investmentafter3yearsusingtheformula1000 investment after 3 years using the formula 1000(1.1)^{t}$.

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Problem 8066

Tran pays \84forgasanddrives84 for gas and drives m$ miles.
a) Find the cost per mile. b) What does "per" mean? c) Test with m=200m = 200. Does it make sense?

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Problem 8067

Find the supplement of an angle measuring 1313^{\circ}.

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Problem 8068

Convert these to percentages: 5.45, 190.8, 56\frac{5}{6}, 38\frac{3}{8}, 18\frac{1}{8}, 45\frac{4}{5}.

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Problem 8069

Convert these percents to decimals: a. 39%39 \%, b. 45%\frac{4}{5} \%, c. 1523%15 \frac{2}{3} \%, d. 23%\frac{2}{3} \%.

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Problem 8070

Convert these percents to decimals: a. 27%27 \%, b. 25%\frac{2}{5} \%, c. 1623%16 \frac{2}{3} \%, d. 13%\frac{1}{3} \%.

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Problem 8071

Identify the irrational numbers from the following: a. 53\sqrt{53}, b. 49\sqrt{49}, c. 256\sqrt{256}, d. 245\sqrt{245}, e. 2332-3 \sqrt{3}, f. 35\sqrt{3} \cdot 5. Choose all that apply.

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Problem 8072

What expression shows John's age in 8 years if yy is his current age? Options: y+8y+8, y8y-8, 8y8y, y8\frac{y}{8}.

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Problem 8073

Compare 62+14÷26^{2}+14 \div 2 and 10082100-8^{2}: Is it equal, greater, or less?

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Problem 8074

What is 91÷591 \div 5?

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Problem 8075

Add or subtract these measurements, ensuring the correct significant digits:
8.70 mL - 7.8 mL = \square mL 17.570 mL + 18.8 mL = \square mL 11.9 mL + 13.577 mL = \square mL

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Problem 8076

Perform the following calculations with correct significant digits:
1. 2.800 g1.47 g=g2.800 \mathrm{~g}-1.47 \mathrm{~g}=\square \mathrm{g}
2. 1.700 g0.57 g=g1.700 \mathrm{~g}-0.57 \mathrm{~g}=\square \mathrm{g}
3. 14.700 g+1.3 g=g14.700 \mathrm{~g}+1.3 \mathrm{~g}=\square \mathrm{g}

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Problem 8077

Calculate the area and perimeter of a rectangle with sides 316 \frac{3}{16} inches and 38 \frac{3}{8} inches.

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Problem 8078

Calculate the area and perimeter of a rectangle with sides 58\frac{5}{8} inch and 34\frac{3}{4} inch. Simplify your answer.

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Problem 8079

Multiply or divide these measurements, ensuring correct significant digits:
1. 2.094 cm×1.10 cm=cm22.094 \mathrm{~cm} \times 1.10 \mathrm{~cm} = \square \mathrm{cm}^{2}
2. 20.94gmL×33mL=g20.94 \frac{\mathrm{g}}{\mathrm{mL}} \times 33 \mathrm{mL} = \square \mathrm{g}
3. 496.3 m÷0.90 s=ms496.3 \mathrm{~m} \div 0.90 \mathrm{~s} = \square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 8080

Calculate: 405.36 g ÷ 0.57 mL = \square g/mL; 7.808 g/mL × 0.6 mL = \square g; 269.58 g ÷ 0.86 mL = \square g/mL.

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Problem 8081

Calculate the following: 78.08 cm × 50 cm = \square cm², 792.4 g ÷ 43.37 mL = \square g/mL, 0.93 g/mL × 4.925 mL = \square g.

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Problem 8082

Convert Janet's weight of 115 lbs to kg. Show your work. (5 pts)

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Problem 8083

Multiply or divide these measurements with correct significant digits:
1. 7.81molL×4.525 L=mol7.81 \frac{\mathrm{mol}}{\mathrm{L}} \times 4.525 \mathrm{~L}=\square \mathrm{mol}
2. 215.0 mol÷0.85 L=molL215.0 \mathrm{~mol} \div 0.85 \mathrm{~L}=\square \frac{\mathrm{mol}}{\mathrm{L}}
3. 578.36 m÷0.41 s=ms578.36 \mathrm{~m} \div 0.41 \mathrm{~s}=\square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 8084

Convert fingernail growth of 2.50 cm/year to km/s. Show work and express answer in scientific notation. (6 pts)

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Problem 8085

Simplify the expression (a+1a1+a1a+1)÷(a+1a1a1a+1)\left(\frac{a+1}{a-1}+\frac{a-1}{a+1}\right) \div\left(\frac{a+1}{a-1}-\frac{a-1}{a+1}\right).

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Problem 8086

Calculate the following with correct significant digits:
1. 405.36 g÷0.57 mL=gmL405.36 \mathrm{~g} \div 0.57 \mathrm{~mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}
2. 7.808gmL×0.6 mL=g7.808 \frac{\mathrm{g}}{\mathrm{mL}} \times 0.6 \mathrm{~mL} = \square \mathrm{g}
3. 269.58 g÷0.86 mL=gmL269.58 \mathrm{~g} \div 0.86 \mathrm{~mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}

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Problem 8087

Add using a number line: Show 4+(5)-4 + (-5) with two arrows.

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Problem 8088

Multiply or divide these measurements, ensuring correct significant digits:
2.09molL×4.60 L=mol2.09 \frac{\mathrm{mol}}{\mathrm{L}} \times 4.60 \mathrm{~L}=\square \mathrm{mol},
20.9 cm×22 cm=cm220.9 \mathrm{~cm} \times 22 \mathrm{~cm}=\square \mathrm{cm}^{2},
137.1 g÷0.43 mL=gmL137.1 \mathrm{~g} \div 0.43 \mathrm{~mL}=\square \frac{\mathrm{g}}{\mathrm{mL}}.

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Problem 8089

Divide or multiply these measurements, ensuring correct significant digits:
213.30 mol ÷ 85.1 L = \square mol/L 7.808 mol/L × 3.1 L = \square mol 248.6 mol ÷ 0.46 L = \square mol/L

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Problem 8090

Factoriza a4+a22a^{4}+a^{2}-2.

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Problem 8091

Multiply or divide these measurements with proper significant digits:
1. 20.947gmL×32mL=g20.947 \frac{\mathrm{g}}{\mathrm{mL}} \times 32 \mathrm{mL} = \square \mathrm{g}
2. 914.4g÷0.65mL=gmL914.4 \mathrm{g} \div 0.65 \mathrm{mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}
3. 0.934cm×1.125cm=cm20.934 \mathrm{cm} \times 1.125 \mathrm{cm} = \square \mathrm{cm}^{2}

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Problem 8092

Find the exact value of cot3π2cos3π2\cot \frac{3 \pi}{2} - \cos \frac{3 \pi}{2} without a calculator.

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Problem 8093

Calculate the value of cos90+cot45\cos 90^{\circ} + \cot 45^{\circ} without using a calculator.

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Problem 8094

Calculate the exact value of sin46cos44\sin 46^{\circ} - \cos 44^{\circ} without a calculator.

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Problem 8095

Calculate the value of sin90+tan45\sin 90^{\circ} + \tan 45^{\circ} without a calculator.

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Problem 8096

Calculate the value of 2cosπ36tanπ62 \cos \frac{\pi}{3} - 6 \tan \frac{\pi}{6} without using a calculator.

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Problem 8097

Find the midpoint of the segment with endpoints (2,10)(-2,-10) and (8,4)(8,-4).

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Problem 8098

Find the value of cot3π2+cos3π2\cot \frac{3 \pi}{2} + \cos \frac{3 \pi}{2} without a calculator.

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Problem 8099

Find the exact value of sin29cos61\sin 29^{\circ} - \cos 61^{\circ} without a calculator.

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Problem 8100

Find the midpoint of the segment with endpoints (9,5)(9,5) and (1,1)(1,1).

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